Operator entanglement in local quantum circuits I: Chaotic dual-unitary circuits
Bertini, Bruno (Author), Kos, Pavel (Author), Prosen, Tomaž (Author)

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The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been proposed as dynamical chaos indicator, i.e. as a quantity able to discriminate between quantum systems with integrable and chaotic dynamics. For chaotic systems the local-operator entanglement is expected to grow linearly in time, while it is expected to grow at most logarithmically in the integrable case. Here we study local-operator entanglement in dual-unitary quantum circuits, a class of "statistically solvable" quantum circuits that we recently introduced. We identify a class of "completely chaotic" dual-unitary circuits where the local-operator entanglement grows linearly and we provide a conjecture for its asymptotic behaviour which is in excellent agreement with the numerical results. Interestingly, our conjecture also predicts a "phase transition" in the slope of the local-operator entanglement when varying the parameters of the circuits.

Keywords:entanglement, quantum chaos, quantum many-body systems
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Number of pages:28 str.
Numbering:Vol. 8, art. no. 067
ISSN on article:2542-4653
DOI:10.21468/SciPostPhys.8.4.067 Link is opened in a new window
COBISS.SI-ID:14721795 Link is opened in a new window
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Record is a part of a journal

Title:SciPost physics
Publisher:SciPost Foundation
COBISS.SI-ID:526154521 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open Many-body Non-Equilibrium Systems

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Project no.:P1-0402
Name:Matematična fizika

Secondary language

Keywords:kvantna prepletenost, kvantni kaos, večdelčni sistemi

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